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Y = Base = X + 3.
Superficie = Base x Altura = 108 cm²
(X + 3)X = 108
X² + 3X = 108
X² + 3X - 108 = 0
a = 1; b = 3; c = -108
X = (-3 +/- 21)/2
X1 = (-3 + 21)/2; X1 = 9
X2 = (-3 - 21)/2; X2 = -12.
Tomo el X positivo. X = 9 cm
Altura = 9 cm
Base = 9 + 3 = 12 cm
Area = 9x12 = 108 cm²
Perimetro = 2(9 cm) + 2(12 cm) = 42 cm
Perimetro = 42 cm